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Important properties of the stochastic system are discussed. Our aim is to obtain the unified switched instants and system parameters under the condition of different initial states. To do this, we will formulate a system identification problem in which these uncertain switched instants and system parameters are regarded as decision variables to be chosen such that the relative error between experimental data and computational results is minimized. Such problem governed by the stochastic system is subject to continuous state inequality constraints and box constraints. By performing a time\u2010scaling transformation as well as introducing the constraint transcription and local smoothing approximation techniques, we convert such problem into a sequence of approximation subproblems. Considering both the difficulty of finding analytical solutions and the complex nature of these subproblems, we develop a parallelized differential evolution (DE) algorithm to solve these approximation subproblems. From an extensive simulation, we show that the obtained optimal switched instants and system parameters are satisfactory with initial state difference.<\/jats:p>","DOI":"10.1155\/2019\/4979580","type":"journal-article","created":{"date-parts":[[2019,2,3]],"date-time":"2019-02-03T23:33:12Z","timestamp":1549236792000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Optimization for Nonlinear Uncertain Switched Stochastic Systems with Initial State Difference in Batch Culture Process"],"prefix":"10.1155","volume":"2019","author":[{"given":"Jinlong","family":"Yuan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jun","family":"Xie","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3212-2080","authenticated-orcid":false,"given":"Honglei","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Enmin","family":"Feng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhilong","family":"Xiu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2019,2,3]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.bej.2005.03.011"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-014-0654-z"},{"key":"e_1_2_11_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jbiotec.2015.12.014"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2017.07.026"},{"key":"e_1_2_11_5_2","doi-asserted-by":"publisher","DOI":"10.3934\/jimo.2018168"},{"key":"e_1_2_11_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2009.03.006"},{"key":"e_1_2_11_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-43793-3"},{"key":"e_1_2_11_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.procbio.2018.05.009"},{"key":"e_1_2_11_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40314-014-0160-9"},{"key":"e_1_2_11_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2011.11.015"},{"key":"e_1_2_11_11_2","doi-asserted-by":"publisher","DOI":"10.3846\/13926292.2016.1142481"},{"key":"e_1_2_11_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2014.01.027"},{"key":"e_1_2_11_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2013.02.021"},{"key":"e_1_2_11_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2018.09.040"},{"key":"e_1_2_11_15_2","first-page":"1717","article-title":"\u03b1-fraction first strategy for hierarchical wireless sensor networks","volume":"19","author":"Pan J. 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